An investigation was launched following the blaze, which took hold at a property in Renfrew’s WesterPark Gate at 3.10am on Saturday.
Nobody was seriously injured in the incident.
Detective Inspector Neil Martin said: “This was a targeted attack that has been frightening for the occupiers of the house.
“We are appealing to anyone who has any information on this incident or any CCTV images to contact us.”
Call 101. Quote reference number 0738 of May 23.